Thank you for the opportunity! I am committed to working with H&B for the long term. I believe in growing within an organization, contributing consistently, and building strong relationships over time. As long as there are opportunities to learn, contribute, and advance, I see myself dedicating my efforts here for years to come.
We are given:
-
A invested ₹15,400 for 8 months
-
B invested ₹18,200 but left after 6 months
-
C invested ₹12,600 for 8 months
-
Total profit after 8 months = ₹28,790
We need to find C’s share in the profit.
Let’s solve this step-by-step with explanation and example.
🧠 Step 1: Use the concept of “capital × time”
In partnership, profit is divided based on how much money each person invested and for how long.
This is called the “capital–time” product.
We calculate it for each partner:
-
A’s investment = ₹15,400 for 8 months
→ A’s share = 15400 × 8 = 1,23,200 -
B’s investment = ₹18,200 for 6 months
→ B’s share = 18200 × 6 = 1,09,200 -
C’s investment = ₹12,600 for 8 months
→ C’s share = 12600 × 8 = 1,00,800
So the profit-sharing ratio of A : B : C =
123200 : 109200 : 100800
🔢 Step 2: Simplify the ratio
We can simplify this by dividing each term by 100:
1232 : 1092 : 1008
Let’s now divide all terms by 4:
-
1232 ÷ 4 = 308
-
1092 ÷ 4 = 273
-
1008 ÷ 4 = 252
So final simplified ratio = 308 : 273 : 252
🧮 Step 3: Total parts and C’s share
Total parts = 308 + 273 + 252 = 833
C’s share in the profit = (252 / 833) × 28790
Now calculate:
C’s share = ₹(252 × 28790) ÷ 833
C’s share = ₹7255080 ÷ 833 = ₹8,705
✅ Final Answer:
C’s share in the profit is ₹8,705.
Let me know if you want the share of A or B too!